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Makovka662 [10]
3 years ago
7

The probability that a person catches a cold during the cold and flu season is 0.4. assume that 10 people are chosen at random.

what is the probability that exactly four of them will catch a cold
Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0
From the information given;
P(cold) = 0.4
P(no cold) = 1-0.4 = 0.6

The number of ways of selecting 4 from 10 = 10C4 = 210

Probability that the 4 selected with catch a cold:

P(4 will catch cold) = (10C4)*P(cold)^4*P(no cold)^6 =  210*0.4^4*0.6^6 = 0.2508

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Read 2 more answers
Mr. West estimated a mass to be 265g, but upon carefully measuring it, found the actual mass to be 240g. What was the percent er
spayn [35]

Answer:

<h3>The answer is 10.42 %</h3>

Step-by-step explanation:

The percentage error of a certain measurement can be found by using the formula

P(\%) =  \frac{error}{actual \:  \: number}  \times 100\% \\

From the question

actual mass = 240 g

error = 265 - 240 = 25

So we have

p(\%) =  \frac{25}{240}  \times 100  \\  = 10.41666666...

We have the final answer as

<h3>10.42 %</h3>

Hope this helps you

8 0
3 years ago
Can someone please help on both questions!! Thank you
mafiozo [28]

Question 7

<h3>Answer: A) 15</h3>

---------------------

Work Shown:

angle B = angle D = 56

angle C = angle F = 64

The missing angle A adds with B and C to get 180

A+B+C = 180

A = 180-B-C

A = 180-56-64

A = 60

Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.

angle E = angle A

3x+15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Side note: I'm not sure why your teacher marked angle E as the same as angles C and F.  They should have used another angle marker to indicate that angles A and E are the same.

================================================

Question 8

<h3>Answer: B) 17</h3>

------------------------------

Work Shown:

Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.

Therefore, we have these three pairings

  • angle A = angle E
  • angle B = angle D
  • angle C = angle F

We'll first need angle C

A+B+C = 180

C = 180-A-B

C = 180-42-108

C = 30

which we'll then solve for x

angle F = angle C

4x-4 = 30

4x = 30+4

4x = 34

x = 34/4

x = 8.5

which doubles to

2x = 2*8.5

2x = 17

7 0
3 years ago
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